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3 votes
1 answer
223 views

Algebraic variations of the full knot Floer complex

In Hom's paper (arXiv link), p.20, Section 3.3 ends with "There are other algebraic modifications one may consider, such as setting $U^n = 0$ or $UV = 0$", referring to the knot Floer ...
horned-sphere's user avatar
9 votes
3 answers
668 views

Do we get a instanton $S^{3}$ if we do $1/n$ surgery on a knot in $S^{3}$?

Consider the following question: Let $K\subset S^{3}$ be a nontrivial knot, and let $Y$ be the manifold obtained by doing $1/n$-surgery ($n\geq1$). Is it possible that the instanton Floer homology of $...
user44651's user avatar
  • 1,069
13 votes
2 answers
1k views

Maslov index and Heegard Floer homology

I am an undergraduate who wants to learn Knot Floer homology. I was told to start with this expository paper which was working quite well until I reached the actual definition of the differential. ...
anonymous's user avatar
  • 133